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SOURCE SIMULATION TECHNIQUES FOR THE CALCULATION OF SOUND RADIATION AND SCATTERING - AN OVERVIEW

机译:用于计算声辐射和散射的源仿真技术 - 概述

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The source simulation technique is a general tool for calculating the sound radiation or scattering from complex-shaped structures into the three-dimensional space. The basic idea of the method consists in replacing the structure by a system of acoustical sources placed in the interior of the structure. By definition, these source functions have to satisfy the Helmholtz equation and the radiation condition. For solving the radiation or scattering problem completely, the source system also has to fulfill the boundary conditions on the surface of the body. Spherical wave functions with different source locations are used as sources, since they can easily be calculated. For minimizing the boundary error, the method of weighted residuals is applied. Depending on the choice of the weighting functions, different variants of the source simulation technique are obtained, for example, the null-field equations and the full-field equations. The full-field equations may lead to better conditioned sets of equations than the null-field equations. The null-field and the full-field equations can also be derived from the interior or exterior Helmholtz integral equation, respectively. For demonstrating the capacity of the method, the source simulation technique is applied to a scattering problem.
机译:源仿真技术是用于计算声辐射或从复杂形状的结构散射到三维空间中的通用工具。该方法的基本思想包括通过放置在结构内部的声学来源的系统代替结构。根据定义,这些源功能必须满足亥姆霍兹方程和辐射条件。为了完全解决辐射或散射问题,源系统还必须满足身体表面上的边界条件。使用不同源位置的球面波函数用作源,因为它们可以很容易地计算。为了使边界误差最小化,应用了加权残差的方法。根据加权函数的选择,获得源仿真技术的不同变型,例如,空场方程和全场方程。全场方程可能导致比空场方程更好的条件方程组。空字段和全场方程也可以分别从内部或外部亥姆霍兹积分方程导出。为了证明该方法的容量,源仿真技术应用于散射问题。

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